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Finding the Fourth Proportional to 727.72, 1,004.30 and 413.04

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Solution

The fourth proportional to 727.72, 1,004.30 and 413.04 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,004.30 = 413.04 : x
  2. Step 2: Convert to fraction form
    727.72/1,004.30 = 413.04/x
  3. Step 3: Cross multiply
    727.72x = 1,004.30 × 413.04
  4. Step 4: Simplify right side
    727.72x = 414,812.08
  5. Step 5: Solve for x
    x = 414,812.08/727.72
  6. Step 6: Final answer
    x = 570.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.